Solution of linear boundary value problems for systems of ordinary differential equations by Godunov's method
Numerical methods and programming, Tome 2 (2001) no. 3, pp. 41-48
Cet article a éte moissonné depuis la source Math-Net.Ru
A numerical algorithm of solving linear boundary value problems for systems of first-order ordinary differential equations is proposed. The algorithm is based on Godunov's method without storage of intermediate matrices arising during the process of orthogonalization.
Keywords:
linear boundary value problems, ordinary differential equations, shooting method, refelection method.
Mots-clés : orthogonal Thomas algorithm, QR-decomposition
Mots-clés : orthogonal Thomas algorithm, QR-decomposition
@article{VMP_2001_2_3_a3,
author = {O. B. Arushanyan and S. F. Zaletkin},
title = {Solution of linear boundary value problems for systems of ordinary differential equations by {Godunov's} method},
journal = {Numerical methods and programming},
pages = {41--48},
year = {2001},
volume = {2},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMP_2001_2_3_a3/}
}
TY - JOUR AU - O. B. Arushanyan AU - S. F. Zaletkin TI - Solution of linear boundary value problems for systems of ordinary differential equations by Godunov's method JO - Numerical methods and programming PY - 2001 SP - 41 EP - 48 VL - 2 IS - 3 UR - http://geodesic.mathdoc.fr/item/VMP_2001_2_3_a3/ LA - ru ID - VMP_2001_2_3_a3 ER -
%0 Journal Article %A O. B. Arushanyan %A S. F. Zaletkin %T Solution of linear boundary value problems for systems of ordinary differential equations by Godunov's method %J Numerical methods and programming %D 2001 %P 41-48 %V 2 %N 3 %U http://geodesic.mathdoc.fr/item/VMP_2001_2_3_a3/ %G ru %F VMP_2001_2_3_a3
O. B. Arushanyan; S. F. Zaletkin. Solution of linear boundary value problems for systems of ordinary differential equations by Godunov's method. Numerical methods and programming, Tome 2 (2001) no. 3, pp. 41-48. http://geodesic.mathdoc.fr/item/VMP_2001_2_3_a3/